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Finding the Fourth Proportional to 977.30, 1,466.31 and 508.48

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Solution

The fourth proportional to 977.30, 1,466.31 and 508.48 is: 762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.30 : 1,466.31 = 508.48 : x
  2. Step 2: Convert to fraction form
    977.30/1,466.31 = 508.48/x
  3. Step 3: Cross multiply
    977.30x = 1,466.31 × 508.48
  4. Step 4: Simplify right side
    977.30x = 745,589.31
  5. Step 5: Solve for x
    x = 745,589.31/977.30
  6. Step 6: Final answer
    x = 762.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.